Other than Thor and Odin, certain other individuals have proven worthy of lifting Mjolnir in the primary continuity: Roger "Red" Norvell (a deliberate ruse by Odin)Beta Ray Bill. Buri (also known as Tiwaz, Thor's great-grandfather)
This is why only the “worthy” can pick up Mjolnir. Because Odin put the enchantment on Mjolnir: “Who so ever holds this hammer, if he be worthy, should posses the power of Thor.” That same enchantment is how Jane possesses the power of Thor in Love and Thunder.
Summary. Wielders of Thor's hammer, Mjolnir, must possess compassion, restraint, nobility, wisdom, and humility. The MCU version of Captain America embodies these qualities, making him worthy of Mjolnir's power. Mjolnir's power can rewrite one's spirit, potentially leading to dire consequences for its wielder.
Odin's enchantment on Mjolnir in the beginning of Thor made it so only those worthy could wield its power. The most plausible explanation for Hela being able to hold and destroy Mjolnir is that Odin's death weakened the enchantment and she was too powerful for it.
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Why did Mjolnir choose Jane?
In a moment of wistful affection for his girlfriend, Thor asked his trusty hammer to always protect Jane, and in doing so unwittingly enchanted Mjolnir to do just that. Just like Thor's father Odin once enchanted the hammer to only be lifted by someone who is worthy, Thor cast a spell that let Jane use its powers.
Stormbreaker has the additional power to summon the Bifröst, allowing Thor to teleport anywhere in the Nine Realms. Screen Rant has identified Stormbreaker as the more powerful of the two, based on this ability, as well as it being a much larger and edged weapon.
In the former movie, it was likely Tony's narcissism and lack of humility that contributed to his “unworthiness.” These attributes did, however, make him a hero. After saving the world, making a play to sacrifice himself, and defeating Thanos' army, he was not able to lift Mjolnir in Age of Ultron.
While the primary Thanos from Earth-616's universe was defeated and was never worthy to lift Mjolnir, it's possible that a future (or existing) variant of Thanos could.
While Batman does have some of the characteristics that would allow him to lift Mjolnir, he also has committed several acts that disqualify him. This is a man who once kept extensive files on his allies in case he needed to take them down, files that were stolen and used against said allies.
In the end, Deadpool wasn't worthy. While he seemingly had control of Mjolnir and the strength of Thor, it was all a mirage put on by Loki to distract Thor.
The simple answer is no. Yes, Hulk absolutely smashes Thor to the ground with Mjolnir, but, he's holding both Thor and the hammer. Hulk wouldn't have been able to lift Mjolnir by himself, but since the God of Thunder had a firm grip on it as well, he was able to use it as a weapon against his teammate.
Rather than simply being righteous warriors, Mjolnir's wielders need to be on the front lines of huge threats to the Ten Realms. This explains why in Age of Ultron, the MCU's Cap could only shift Mjolnir slightly –he was not yet the "tip of the spear." Later, facing off against Thanos elevated him to full worthiness.
There's been confusion among fans about whether or not Loki is worthy of wielding Thor's hammer, but Marvel has finally confirmed that the God of Mischief can indeed lift Mjolnir. The Immortal Thor #4 complicated the issue of Loki's worthiness by not allowing him to solely be the one to lift Mjolnir.
But Nick Fury, always prepared, had a way to take out the do-gooders. In the case of Thor, all it took was a whisper of the simple phrase, “Gorr was right.” After hearing this, Thor was unable to wield Mjolnir. He was rendered unworthy, because in his heart he believed what Fury said was true.
Unlike Mjølnir, however, the weapon is not enchanted to prevent those deemed "unworthy" from holding it, making anybody with sufficient strength capable of using the weapon.
But as it turns out, it was not just Thor's strength. After all, no weapon in existence should be able to stop the combined power of the Infinity Stones, no matter how powerful the wielder is. Turns out, Thanos was taken unawares. He had just incapacitated all the heroes who tried to stop him.
Likewise, the Hulk was, at the time, a rampaging beast, lacking much else in the way of personality. Thus, he had no morality or sense of justice, being ethically unworthy of Mjolnir's might.
Did Captain America fake not being able to lift Mjolnir?
Meanwhile, Christopher Markus and Stephen McFeely say that Steve Rogers was genuinely unable to lift the hammer as he was still being held back by lying to Iron Man about Bucky Barnes killing his parents.
There, Hawkeye witnessed Thor's attempts to lift the hammer when the Asgardian hero was banished to Earth and thus had none of his powers, meaning he wasn't worthy of holding the hammer.
The movie doesn't explain Thor's motivations for giving up Stormbreaker, but it makes sense that Chris Hemsworth simply wanted Love to have a powerful weapon to aid her in battle. It's unlikely that he could give her Mjolnir, considering that so few people in the MCU have been deemed worthy of its power.
